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Finding the Fourth Proportional to 51,010.66, 76,503.84 and 21,429.07

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Solution

The fourth proportional to 51,010.66, 76,503.84 and 21,429.07 is: 32,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,010.66 : 76,503.84 = 21,429.07 : x
  2. Step 2: Convert to fraction form
    51,010.66/76,503.84 = 21,429.07/x
  3. Step 3: Cross multiply
    51,010.66x = 76,503.84 × 21,429.07
  4. Step 4: Simplify right side
    51,010.66x = 1,639,406,142.63
  5. Step 5: Solve for x
    x = 1,639,406,142.63/51,010.66
  6. Step 6: Final answer
    x = 32,138.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.